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Finding the Fourth Proportional to 137,355.21, 206,968.74 and 112,942.13

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Solution

The fourth proportional to 137,355.21, 206,968.74 and 112,942.13 is: 170,182.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,355.21 : 206,968.74 = 112,942.13 : x
  2. Step 2: Convert to fraction form
    137,355.21/206,968.74 = 112,942.13/x
  3. Step 3: Cross multiply
    137,355.21x = 206,968.74 × 112,942.13
  4. Step 4: Simplify right side
    137,355.21x = 23,375,489,304.17
  5. Step 5: Solve for x
    x = 23,375,489,304.17/137,355.21
  6. Step 6: Final answer
    x = 170,182.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.